46896213405600 has 2160 divisors, whose sum is σ = 194077853206776. Its totient is φ = 10950499123200.

The previous prime is 46896213405577. The next prime is 46896213405607. The reversal of 46896213405600 is 650431269864.

46896213405600 is a `hidden beast` number, since 4 + 6 + 8 + 9 + 6 + 21 + 3 + 4 + 0 + 5 + 600 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 10860636620304 + 36035576785296 = 3295548^2 + 6002964^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×46896213405600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (46896213405607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 42905958654 + ... + 42905959746.

Almost surely, 2^{46896213405600} is an apocalyptic number.

46896213405600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46896213405600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97038926603388).

46896213405600 is an abundant number, since it is smaller than the sum of its proper divisors (147181639801176).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46896213405600 is a wasteful number, since it uses less digits than its factorization.

46896213405600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 46896213405600 in words is "forty-six trillion, eight hundred ninety-six billion, two hundred thirteen million, four hundred five thousand, six hundred".